论文标题
熵生产和弗拉索夫方程
Entropy production and Vlasov equation for self-gravitating systems
论文作者
论文摘要
自我磨削系统向非平衡稳态的演变是通过暴力放松的过程发生的。在热力学限制中，许多身体系统的动力学应由弗拉索夫方程式控制。然而，最近，关于在暴力放松过程中弗拉索夫方程的有效性提出了一个问题。在本文中，我们将使用N体分子动力学模拟在松弛过程中探索熵产生。我们将证明熵生产时间的增长为$ n^α$，$α> 0 $，在限制$ n \ rightarrow \ infty $中，熵将保持恒定，与弗拉索夫方程保持一致。此外，我们将证明，基于弗拉索夫方程构建的平均场动力学与完整的分子动力学模拟非常吻合，证明了弗拉索夫方程在进化的暴力放松阶段的适用性。
The evolution of a self-gravitating system to a non-equilibrium steady state occurs through a process of violent relaxation. In the thermodynamic limit the dynamics of a many body system should be governed by the Vlasov equation. Recently, however, a question was raised regarding the validity of Vlasov equation during the process of violent relaxation. In this paper we will explore the entropy production during the relaxation process using N-body molecular dynamics simulations. We will show that the entropy production time grows as $N^α$, with $α> 0$ and in the limit $N \rightarrow \infty$, entropy will remain constant, consistent with the Vlasov equation. Furthermore, we will show that the mean field dynamics constructed on the basis of the Vlasov equation is in excellent agreement with the full molecular dynamics simulations, justifying the applicability of Vlasov equation during the violent relaxation phase of evolution.
